How we can reformulate blew problem as a form of nonlinear programming problems? $$ \begin{array}{ll} & \min&\frac{1}{x_1}+\frac{1}{x_2}+\cdots+\frac{1}{x_n} &\\ & \text{s.t.}&x_1^2+x_2^2+\cdots+x_n^2=n &\\ & & x_1+x_2+\cdots+x_n=k\quad \text{where}\quad \sqrt{n} < k \leq n & \end{array} $$
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so, does it mean, you don't like the $\sqrt n < k$ part? is there a reason for $<$? – user251257 Jul 15 '15 at 08:38
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Unfortunately, i dont know. I see this problem here – SKMohammadi Jul 16 '15 at 09:42
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there is not any answer? – SKMohammadi Jul 20 '15 at 16:40